High School

Use prime factors to find the H.C.F (Highest Common Factor) and L.C.M (Lowest Common Multiple) for the following pairs of numbers:

1. 168 and 196
2. 150 and 180

Answer :

  • LCM of 168 and 196: 1176
  • LCM of 150 and 180: 900
  • HCF of 168 and 196: 28
  • HCF of 150 and 180: 30

What is LCM?

  • A positive number is the smallest multiple of two or more numbers.
  • For example, the Least Common Multiple of 3 and 5 is 15 because 15 is a multiple of both 3 and 5, and it is the smallest number that way.
  • Other common multiples for 3 and 5 include 30, 45, and so on, but they are all greater than 15.

(Refer to the table given below)

So,

  1. LCM of 168 and 196: 1176
  2. LCM of 150 and 180: 900

Then,

  1. HCF of 168 and 196: 28
  2. HCF of 150 and 180: 30

Therefore,

  • LCM of 168 and 196: 1176
  • LCM of 150 and 180: 900
  • HCF of 168 and 196: 28
  • HCF of 150 and 180: 30

Know more about LCM here:

https://brainly.com/question/233244

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